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78 relations: Abu al-Wafa' Buzjani, Antiprism, Arc (geometry), Ball (association football), Beach ball, Bipyramid, Conway polyhedron notation, Covering space, Cube, Cuboctahedron, Dark Ages (historiography), Deltoidal hexecontahedron, Deltoidal icositetrahedron, Dihedron, Disdyakis dodecahedron, Disdyakis triacontahedron, Dodecagonal prism, Dodecahedron, Dual polyhedron, Harold Scott MacDonald Coxeter, Hemi-dodecahedron, Hemi-icosahedron, Hemi-octahedron, Hemicube (geometry), Hexagonal antiprism, Hexagonal prism, Hosohedron, Icosahedron, Icosidodecahedron, Inversive geometry, J. C. P. Miller, Kepler–Poinsot polyhedron, Louis Poinsot, Mathematics, Michael S. Longuet-Higgins, Neolithic, Octahedron, Pentagonal hexecontahedron, Pentagonal icositetrahedron, Pentakis dodecahedron, Platonic solid, Point reflection, Polyhedron, Prism (geometry), Projective polyhedron, Real projective plane, Regular polyhedron, Rhombic dodecahedron, Rhombic triacontahedron, Rhombicosidodecahedron, ..., Rhombicuboctahedron, Schläfli symbol, Scotland, Semiregular polyhedron, Snub cube, Snub dodecahedron, Sphere, Spherical geometry, Spherical trigonometry, Stone carving, Tessellation, Tetrahedron, Tetrakis hexahedron, Toroidal polyhedron, Trapezohedron, Triakis icosahedron, Triakis octahedron, Triakis tetrahedron, Truncated cube, Truncated cuboctahedron, Truncated dodecahedron, Truncated icosahedron, Truncated icosidodecahedron, Truncated octahedron, Truncated tetrahedron, Uniform polyhedron, Vertex figure, Wythoff construction. Expand index (28 more) »
Abu al-Wafa' Buzjani
Abū al-Wafāʾ, Muḥammad ibn Muḥammad ibn Yaḥyā ibn Ismāʿīl ibn al-ʿAbbās al-Būzjānī or Abū al-Wafā Būzhjānī (ابوالوفا بوزجانی or بوژگانی) (10 June 940 – 15 July 998) was a Persian mathematician and astronomer who worked in Baghdad.
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Antiprism
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
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Arc (geometry)
In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.
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Ball (association football)
A football, soccer ball, or association football ball is the ball used in the sport of association football.
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Beach ball
A beach ball is an inflatable ball for beach and water games.
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Bipyramid
An n-gonal bipyramid or dipyramid is a polyhedron formed by joining an n-gonal pyramid and its mirror image base-to-base.
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Conway polyhedron notation
In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.
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Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.
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Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
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Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
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Dark Ages (historiography)
The "Dark Ages" is a historical periodization traditionally referring to the Middle Ages, that asserts that a demographic, cultural, and economic deterioration occurred in Western Europe following the decline of the Roman Empire.
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Deltoidal hexecontahedron
In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron) is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid.
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Deltoidal icositetrahedron
In geometry, a deltoidal icositetrahedron (also a trapezoidal icositetrahedron, tetragonal icosikaitetrahedron,, tetragonal trisoctahedron and strombic icositetrahedron) is a Catalan solid.
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Dihedron
A dihedron is a type of polyhedron, made of two polygon faces which share the same set of edges.
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Disdyakis dodecahedron
In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 faces and the dual to the Archimedean truncated cuboctahedron.
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Disdyakis triacontahedron
In geometry, a disdyakis triacontahedron, hexakis icosahedron, decakis dodecahedron or kisrhombic triacontahedron is a Catalan solid with 120 faces and the dual to the Archimedean truncated icosidodecahedron.
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Dodecagonal prism
In geometry, the dodecagonal prism is the tenth in an infinite set of prisms, formed by square sides and two regular dodecagon caps.
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Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
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Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
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Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
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Hemi-dodecahedron
A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron.
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Hemi-icosahedron
A hemi-icosahedron is an abstract regular polyhedron, containing half the faces of a regular icosahedron.
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Hemi-octahedron
A hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron.
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Hemicube (geometry)
In abstract geometry, a hemicube is an abstract regular polyhedron, containing half the faces of a cube.
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Hexagonal antiprism
In geometry, the hexagonal antiprism is the 4th in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.
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Hexagonal prism
In geometry, the hexagonal prism is a prism with hexagonal base.
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Hosohedron
In geometry, an ''n''-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite vertices.
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Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
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Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
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Inversive geometry
In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion.
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J. C. P. Miller
Jeffrey Charles Percy Miller (31 August 1906 – 24 April 1981) was an English mathematician and computing pioneer.
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Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
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Louis Poinsot
Louis Poinsot (3 January 1777 – 5 December 1859) was a French mathematician and physicist.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Michael S. Longuet-Higgins
Michael Selwyn Longuet-Higgins FRS (December 8, 1925 – February 26, 2016) was a mathematician and oceanographer at the Department of Applied Mathematics and Theoretical Physics (DAMTP), Cambridge University, England and Institute for Nonlinear Science, University of California, San Diego, USA.
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Neolithic
The Neolithic was a period in the development of human technology, beginning about 10,200 BC, according to the ASPRO chronology, in some parts of Western Asia, and later in other parts of the world and ending between 4500 and 2000 BC.
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Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
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Pentagonal hexecontahedron
In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron.
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Pentagonal icositetrahedron
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube.
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Pentakis dodecahedron
In geometry, a pentakis dodecahedron or kisdodecahedron is a dodecahedron with a pentagonal pyramid covering each face; that is, it is the Kleetope of the dodecahedron.
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Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
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Point reflection
In geometry, a point reflection or inversion in a point (or inversion through a point, or central inversion) is a type of isometry of Euclidean space.
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Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
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Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
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Projective polyhedron
In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane.
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Real projective plane
In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface.
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Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
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Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.
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Rhombic triacontahedron
In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces.
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Rhombicosidodecahedron
In geometry, the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
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Rhombicuboctahedron
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
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Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
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Scotland
Scotland (Alba) is a country that is part of the United Kingdom and covers the northern third of the island of Great Britain.
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Semiregular polyhedron
The term semiregular polyhedron (or semiregular polytope) is used variously by different authors.
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Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.
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Snub dodecahedron
In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.
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Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
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Spherical geometry
Spherical geometry is the geometry of the two-dimensional surface of a sphere.
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Spherical trigonometry
Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.
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Stone carving
Stone carving is an activity where pieces of rough natural stone are shaped by the controlled removal of stone.
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Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
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Tetrakis hexahedron
In geometry, a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid.
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Toroidal polyhedron
In geometry, a toroidal polyhedron is a polyhedron which is also a toroid (a g-holed torus), having a topological genus of 1 or greater.
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Trapezohedron
The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism.
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Triakis icosahedron
In geometry, the triakis icosahedron (or kisicosahedron) is an Archimedean dual solid, or a Catalan solid.
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Triakis octahedron
In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid.
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Triakis tetrahedron
In geometry, a triakis tetrahedron (or kistetrahedron) is an Archimedean dual solid, or a Catalan solid.
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Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.
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Truncated cuboctahedron
In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.
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Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid.
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Truncated icosahedron
In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.
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Truncated icosidodecahedron
In geometry, the truncated icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces.
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Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
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Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
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Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
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Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
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Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
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Redirects here:
Henagonal henahedron, Monogonal monohedron, Spherical polyhedra, Spherical tiling.
References
[1] https://en.wikipedia.org/wiki/Spherical_polyhedron
